Adaptive Hierarchical Isogeometric Finite Element Methods

1. Auflage 2012
ISBN: 978-3-8348-2444-8
Verlag: Vieweg+Teubner Verlag

Buch, Englisch, 128 Seiten, Format (B × H): 148 mm x 210 mm, Gewicht: 201 g

Isogeometric finite elements combine the numerical solution of partial differential equations and the description of the computational domain given by rational splines from computer aided geometric design. This work gives a well-founded introduction to this topic and then extends isogeometric finite elements by a local refinement technique, which is essential for an efficient adaptive simulation. Thereby a hierarchical approach is adapted to the numerical requirements and the relevant theoretical properties of the basis are ensured. The computational results suggest the increased efficiency and the potential of this local refinement method.

Zielgruppe

Academics and students from applied mathematics, computer science and engineering with interest in adaptive simulation with isogeometric finite elements. Practitioners with interest in the connection between numerical simulation and computer aided geometric design.

Autoren/Hrsg.

Vuong, Anh-Vu

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Numerische Mathematik
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau Konstruktionslehre, Bauelemente, CAD

Inhaltsverzeichnis

Introduction.– Prerequisites from Applied Geometry and Spline Theory. – Mathematical Models and Finite Element Analysis. – Isogeometric Analysis. – Local Refinement for Isogeometric Analysis. – Conclusions.

Über Autor(innen)

Vuong, Anh-Vu
A.-V. Vuong promovierte bei Prof. Dr. Bernd Simeon am Zentrum Mathematik der Technischen Universität München im Rahmen des von der Europäischen Union geförderten Forschungsprojektes EXCITING. Er arbeitet nun am Felix-Klein-Zentrum für Mathematik der Technischen Universität Kaiserslautern.

Anh-Vu Vuong received his doctor’s degree under supervision of Prof. Dr. Bernd Simeon at the Centre for Mathematical Sciences of the TU Munich in the context of the research project EXCITING funded by the European Union. He now works at the Felix-Klein-Centre for Mathematics of the University of Kaiserslautern.